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\left(x^{2}+14x+49\right)\left(x+0\right)\left(x-3\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+7\right)^{2}.
\left(x^{2}+14x+49\right)x\left(x-3\right)
Anything plus zero gives itself.
\left(x^{3}+14x^{2}+49x\right)\left(x-3\right)
Use the distributive property to multiply x^{2}+14x+49 by x.
x^{4}+11x^{3}+7x^{2}-147x
Use the distributive property to multiply x^{3}+14x^{2}+49x by x-3 and combine like terms.
\left(x^{2}+14x+49\right)\left(x+0\right)\left(x-3\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+7\right)^{2}.
\left(x^{2}+14x+49\right)x\left(x-3\right)
Anything plus zero gives itself.
\left(x^{3}+14x^{2}+49x\right)\left(x-3\right)
Use the distributive property to multiply x^{2}+14x+49 by x.
x^{4}+11x^{3}+7x^{2}-147x
Use the distributive property to multiply x^{3}+14x^{2}+49x by x-3 and combine like terms.